K13n1101
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Polynomial invariants
| Jones polynomial | Data:K13n1101/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 4 t^3-18 t^2+40 t-51+40 t^{-1} -18 t^{-2} +4 t^{-3} }[/math] |
| Conway polynomial | Data:K13n1101/Conway Polynomial |
| Determinant | 175 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ 2 z^6 a^{-2} +2 z^6 a^{-4} +6 z^4 a^{-2} +5 z^4 a^{-4} -3 z^4 a^{-6} -2 z^4+8 z^2 a^{-2} +5 z^2 a^{-4} -6 z^2 a^{-6} +z^2 a^{-8} -4 z^2+4 a^{-2} +2 a^{-4} -4 a^{-6} + a^{-8} -2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-3} +2 z^{11} a^{-5} +6 z^{10} a^{-2} +12 z^{10} a^{-4} +6 z^{10} a^{-6} +5 z^9 a^{-1} +9 z^9 a^{-3} +12 z^9 a^{-5} +8 z^9 a^{-7} -19 z^8 a^{-2} -30 z^8 a^{-4} -3 z^8 a^{-6} +7 z^8 a^{-8} +z^8-16 z^7 a^{-1} -45 z^7 a^{-3} -44 z^7 a^{-5} -11 z^7 a^{-7} +4 z^7 a^{-9} +34 z^6 a^{-2} +26 z^6 a^{-4} -18 z^6 a^{-6} -13 z^6 a^{-8} +z^6 a^{-10} +4 z^6+3 a z^5+32 z^5 a^{-1} +78 z^5 a^{-3} +51 z^5 a^{-5} -7 z^5 a^{-7} -9 z^5 a^{-9} -27 z^4 a^{-2} +4 z^4 a^{-4} +24 z^4 a^{-6} +4 z^4 a^{-8} -2 z^4 a^{-10} -13 z^4-8 a z^3-34 z^3 a^{-1} -49 z^3 a^{-3} -17 z^3 a^{-5} +12 z^3 a^{-7} +6 z^3 a^{-9} +11 z^2 a^{-2} -7 z^2 a^{-4} -14 z^2 a^{-6} -2 z^2 a^{-8} +z^2 a^{-10} +7 z^2+4 a z+11 z a^{-1} +11 z a^{-3} -z a^{-5} -7 z a^{-7} -2 z a^{-9} -4 a^{-2} +2 a^{-4} +4 a^{-6} + a^{-8} -2 }[/math] |
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